From triangulated categories to cluster algebras

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dc.creatorCaldero, Philippe
dc.creatorKeller, Bernhard
dc.date2005-06-01
dc.date2005-06-11
dc.date.accessioned2026-07-07T05:20:27Z
dc.date.available2026-07-07T05:20:27Z
dc.descriptionThe cluster category is a triangulated category introduced for its combinatorial similarities with cluster algebras. We prove that a cluster algebra A of finite type can be realized as a Hall algebra, called the exceptional Hall algebra, of the cluster category. This realization provides a natural basis for A. We prove new results and formulate conjectures on `good basis' properties, positivity, denominator theorems and toric degenerations.
dc.description31 pages, typos corrected
dc.identifierhttps://arxiv.org/abs/math/0506018
dc.identifierhttp://arxiv.org/abs/math/0506018
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75383
dc.subjectRepresentation Theory
dc.subjectRings and Algebras
dc.subject16G20; 18E30
dc.titleFrom triangulated categories to cluster algebras
dc.typetext

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